If their server is exclusively on SSLv3, then probably not yet, but very, very soon.
Apple has disabled features of SSLv3 already. Mozilla plans to disable SSLv3 on Nov 25. Google plans to disable it by the end of the year. Microsoft may have already disabled it in Internet Explorer.
To test it, try disabling SSLv3 in your browser and connect to the site. Viewing the cert in the browser might be enough, depending on whether or not there are multiple certs or multiple servers involved.
Poodle is a MITM attack, it won't take a site down, it will instead intercept communciations between the client and the server. You may see nothing in the logs except an SSLv3 connection, as most browsers will use TLS 1.0 or higher.
Edit: Protocol renegotiation to SSLv3 should only occur between the client and the MITM, this wouldn't appear in the server logs.